# Celliprismated tesseractic tetracomb

Celliprismated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCapotat
Coxeter diagramx4x3o3o4x ()
Elements
Tera4N tesseracts, 6N square-octagonal duoprisms, 4N truncated cubic prisms, N truncated tesseracts, N small disprismatotesseractihexadecachora
Cells16N tetrahedra, 32N triangular prisms, 8N+24N+24N cubes, 24N octagonal prisms, 8N truncated cubes
Faces64N triangles, 48N+48N+96N squares, 24N octagons
Edges32N+96N+96N
Vertices64N
Vertex figureTriangular antipodial pyramid, edge lengths 1 (small base of antipodium), 2 (sides and other base of antipodium, and lacings to large base), and 2+2 (lacings to small base)
Related polytopes
ArmyCapotat
RegimentCapotat
ConjugateQuasicelliquasiprismated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5
ConvexYes

The celliprismated tesseractic tetracomb or capotat, also called the cellitruncated tesseractic tetracomb or steritruncated tesseractic tetracomb is a convex uniform tetracomb. 1 truncated tesseract, 1 small disprismatotesseractihexadecachoron, 1 tesseract, 3 truncated cubic prisms, and 3 square-octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steritruncation of the tesseractic tetracomb.

## Vertex coordinates

The vertices of a celliprismated tesseractic tetracomb of edge length 1 are given by all permutations of:

• ${\displaystyle \left(±\frac12+(2+\sqrt2)i,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)j,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)k,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)l\right),}$

Where i, j, k, and l range over the integers.

## Related polytopes

o4o3o3o4o truncations
Name OBSA CD diagram Picture
Tesseractic tetracomb test
Rectified tesseractic tetracomb rittit
Icositetrachoric tetracomb icot
Truncated tesseractic tetracomb tattit
Bitruncated tesseractic tetracomb batitit
Small rhombated tesseractic tetracomb srittit
Rectified icositetrachoric tetracomb ricot
Great rhombated tesseractic tetracomb grittit
Truncated icositetrachoric tetracomb ticot
Small prismated tesseractic tetracomb sidpitit
Prismatotruncated tesseractic tetracomb potatit
Prismatorhombated tesseractic tetracomb prittit
Great prismated tesseractic tetracomb gippittit
Tesseractic tetracomb test
Celliprismated tesseractic tetracomb capotat
Cellirhombated tesseractic tetracomb scartit
Celligreatorhombated tesseractic tetracomb gicartit
Celliprismatotruncated tesseractic tetracomb captatit
Great cellated tesseractic tetracomb otatit